Carter and his children went into a bakery where they sell cupcakes for $3 each and
cookies for $0.50 each. Carter has $35 to spend and must buy a minimum of 15
cupcakes and cookies altogether. If x represents the number of cupcakes purchased
and y represents the number of cookies purchased, write and solve a system of
inequalities graphically and determine one possible solution. (I need 2 inequality’s)

Answers

Answer 1
Answer:
3x + 0.5y = 35
x + y >/= 15

Possible solution: (11, 4)
11 cupcakes, 4 cookies
____________
Cupcakes = x
Cookies = y

Cupcakes are $3 each —> 3x
Cookies are $0.50 each —> 0.5y

$35 to spend: less than or equal to =
3x + 0.5y = 35

Minimum of 15: greater than or equal to >/= 15

x + y >/= 15
____________

3x + 0.5y = 35
x + y >/= 15

Solve second for y:
y >/= 15 - x

Substitute into first:
3x + 0.5(15 - x) = 35
3x + 7.5 - 0.5x = 35

Combine like terms
2.5x + 7.5 = 35

Subtract 7.5
2.5x = 27.5

Divide by 2.5
x is less than or equal to 11

So y is less than or equal to 4

Check:
4 + 11 = 15 :)

3*11 + 0.5*4 = 35
33 + 2 = 35
35 = 35 :)

Related Questions

the inequality 7-2/3x

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Factor the expression using GCF

7h + 21

Answers

7h divided by 7 = H, so 21 divided by 7 = 3
3 is your answer.

Solve the propotion
q/5 = 4/1

Answers

Answer:20

Step-by-step explanation: If u need help again: https://mathpapa.com/algebra-calculator.html

Answer:

q = 20

Step-by-step explanation:

q 4

5 = 1

4 x 5 = 20

yes or no ? i need help

Answers

Answer:

Yes it is linear

Step-by-step explanation:

Water Tank A has a capacity of 550 gallons and is 66%
full. How much water is in Tank A?

Answers

Answer:

363

Step-by-step explanation:

Hope its right

Answer:

363 gallons

Step-by-step explanation:

550 % 100 x 66 = 363

What is the greatest common monomial factor of 6m3x4 + 30m5y2 + 45m3x6y2? 6m5x6y2 3m3 6m3 3m5x6y2

Answers

I’d say 6 but I could be wrong

Answer:

3m³

Step-by-step explanation:

The leading coefficiets, 6, 30 and 45 are all divisible by 3

m is the only variable present in all three terms.

m³ is a factor of m⁵

HELP PLZZZZZzZZzzzzzz

Answers

Answer:

43.98

Step-by-step explanation:

For camping mrjohn son needs 12 1-2 feet of rope to tie the logs that he has to cut for the campfire and 9 3-4 feet of the rope for the clothesline what is the total length of rope he needs for the camping trip

Answers

Answer:

Mr. John will need not less than [tex]22\frac{1}{4}[/tex] feet of rope for the camping trip

Step-by-step explanation:

To get the total length of rope Mr John needs for the camping trip, we can simply add up the length of rope he needs to tie the logs to the length of rope he needs for the clothesline.

Length of rope he needs to tie the logs = [tex]12\frac{1}{2}[/tex]

Length of rope he needs for the clothesline = [tex]9 \frac{3}{4}[/tex]

to sum this up, we, first of all, add up the whole numbers

12 + 9 = 21.

We then keep this aside then add up the fractions

[tex]\frac{1}{2} +\frac{3}{4} =\frac{2 +3}{4} = 5/4 = 1\frac{1}{4}[/tex]

We then add this to our whole numbers

[tex]21 + 1\frac{1}{4} =22 \frac{1}{4}[/tex]

Mr. John will need not less than [tex]22\frac{1}{4}[/tex] feet of rope for the camping trip

isabella earned $44.00 for 4 hours of work.How much was earned per hour

Answers

Answer:

11$ an Hour because

Step-by-step explanation:

Because 4 divided by 44 = 11.

isabella earned a total of $176.00!!

What is this trying to ask me ???

Answers

Given :

In ∆ABC,

∠A = 60°∠B = 60°BC = 12 units∠BDC = 90°

To Find :

Area of ∆ABC = ?

Solution :

As, we have :

∠A = 60°∠B = 60°

So, By angle sum property of triangle :

∠A + ∠B + ∠C = 180°

[tex] \tt : \implies 60\degree + 60\degree + \angle C = 180\degree[/tex]

[tex] \tt : \implies 120\degree + \angle C = 180\degree[/tex]

[tex] \tt : \implies \angle C = 180\degree - 120\degree[/tex]

[tex] \tt : \implies \angle C = 60\degree[/tex]

Now, we have :

∠A = 60°∠B = 60°∠C = 60°

As, all angles are of same length, therefore it is a equilateral triangle.

We know that sides of equilateral triangle are equal.

[tex] \tt : \implies AB = BC = AC[/tex]

Now, we have BC = 12 units.

Hence, all sides are of 12 units.

Now, we know that area of equilateral triangle is :

[tex] \large \underline{\boxed{\bf{Area_{(equilateral \: triangle)} = \dfrac{\sqrt{3}}{4} side^{2}}}}[/tex]

[tex] \tt : \implies Area = \dfrac{\sqrt{3}}{4} \times (12 \: units)^{2}[/tex]

[tex] \tt : \implies Area = \dfrac{\sqrt{3}}{\cancel{4}} \times \cancel{144} \: units^{2}[/tex]

[tex] \tt : \implies Area = \sqrt{3} \times 36 \: units^{2}[/tex]

[tex] \tt : \implies Area = 36\sqrt{3} units^{2}[/tex]

So, Area of given triangle is 36√3 units².

a) Jelaskan konsep Alam Melayu.​

Answers

Answer: The Malay world or Malay realm, is a concept or an expression that has been utilised by different authors and groups over time to denote several different notions, derived from varied interpretations of Malayness, either as a racial category, as a linguistic group or as a political-cultural group. The use of the term 'Malay' in much of the conceptualisation is largely based on the prevalent Malay cultural influence, manifested in particular through the spread of the Malay language in Southeast Asia as observed by different colonial powers during the Age of Discovery.

-Your friend, Bill Cipher

Step-by-step explanation: Have a great Valentines day <3

pls help me ASAP!! what is the surface area of this design? a) 288in b) 256in c) 96in d) 160in

Answers

Answer:

b) 256 inches

Step-by-step explanation:

8x5x2 = 80   (top & bottom)

8x5x2 = 80    (front & back)

8x8x2 = 128    (gross area of 2 sides)

4x4x2 =32      (delete this for side cutouts) Guessing the cutoff dimension on

                                                                       left side is 4m inch.

80+80+128-32 = 256 inches

Christian is planning a vacation and finds an airplane ticket that cost 180$. He found a promo code offering 17% off. Write a single algebraic expression that can be used to find the cost of Christian’s ticket after the discount.

Answers

Answer:

83/100 x 180

Step-by-step explanation:

We have to find the cost of the ticket after the discount.

100% - 17%= 83%

83% of the total percentage of the original price that he needs to pay.

So we do:

83/100 x 180

So, this would be the expression.

Hope this helps!:)

John had 30 sneakers, with 18 of the black. What is the ratio of the sneakers that are not black

Answers

Answer:

18:12

Step-by-step explanation:

30-18=12

18:12

HELP DUE IN 5 MINS WILL GIVE 20 POINTS!!!!

Answers

Answer:

c is the answer i believe

Step-by-step explanation:

This sum of -7 times A number and eight times the sum of the number and one is the same as the number -7

Answers

Answer:

-7x + 8(x + 1) = -7

Step-by-step explanation:

what is HL, please help me ill give you brainliest if its correct.

Answers

i think It is 21! Let me know if i is wrong.

help plsss(+Brainliest too.)
Here is a picture of a cube, and the net of this cube.

What is the surface area of this cube?

Answers

Answer:

the answer is 256

Step-by-step explanation:

Mark Me Brainliest Please.

please help me with this i need it

Answers

Step-by-step explanation:

25.74- 8.58=x/4.29

state the domain and range of each relation.then state if the relation is a function​

Answers

Step-by-step explanation:

I wish i can help but i dont know the answer. sosorry

What is the domain? {-2,3); (1,4); (2,4); (0,0)}

Answers

Answer:

-2,1,2,0

Step-by-step explanation:

0 your choice to right,still right it to be safe, domain is all x values

¿Cuáles son las longitudes de un terreno rectangular, si se sabe que el ancho es dos veces más pequeño que el largo, y que su área es de 16, 200 m2? cuanto mide el ancho cuanto mide el largo

Answers

Answer:

El largo tendrá un valor de 180 m y al ancho tendrá un valor de 90 m

Step-by-step explanation:

Un rectángulo es un cuadrilátero con dos lados de igual longitud y dos lados de igual ancho que contiene cuatro ángulos rectos. Para encontrar el área de un rectángulo, debes multiplicar su longitud por su ancho. Es decir, el área del rectángulo es igual al largo por el ancho.

En este caso, sabes que el ancho es dos veces más pequeño que el largo. Entonces, siendo el largo x, el ancho tendrá un valor de x÷2.

Siendo el área del terreno rectangular 16,200 m², entonces

x*(x÷2)= 16,200 m²

Resolviendo:

x² ÷2= 16,200 m²

x²= 16,200*2 m²

x²= 32,400 m²

x= √32.400 m²

x= 180 m

Entonces, el largo tendrá un valor de 180 m y al ancho tendrá un valor de 90 m (180 m÷ 2)

Which one is the correct answer please

Answers

The slope is negative 2 explanation isn’t needed

3. A $50 pair of shoes is discounted by 15% What will be the new
price of the shoes?

Answers

Answer:

$42.50

Step-by-step explanation:

15% = .15

50 x .15 = 7.5

50 - 7.5 = 42.5

answer correctly and i will give you my account or will give u brainliest

Answers

Answer:

1200.96m

Step-by-step explanation:

please give me brainliest

Answer:

V = 1200.96 [tex]m^{3}[/tex]

Step-by-step explanation:

V = [tex]\pi[/tex] [tex]r^{2}[/tex] [tex]\frac{h}{3}[/tex] [tex]\pi[/tex] x [tex]9.14^{2}[/tex] x [tex]\frac{13.72}{3}[/tex] = 1200.95996[tex]m^{3}[/tex]

Manny makes dinner using 1 box of pasta and 1jar of sauce .If pasta is sold in oackage if 6 boxes and sauce is sold in in packages of 3 jjara what is the least number of dinners that manny can make without any supplies leftover

Answers

Answer:

The least number of dinners that manny can make without any supplies leftover is 6 dinners

Step-by-step explanation:

Dinner = 1 box of pasta + 1jar of sauce

pasta is sold in package of 6 boxes

sauce is sold in in packages of 3

jars

what is the least number of dinners that manny can make without any supplies leftover?

Find the lowest common multiple of 6 boxes and 3 jars

6 boxes = 6, 12, 18, 24, 30, 36, 42,48

3 jars = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30

The lowest common multiple of 6 boxes and 3 jars = 6

The least number of dinners that manny can make without any supplies leftover is 6 dinners

Using:

Pasta = 6 dinners / 6 boxes

= 1 package

Pasta = 1 package

Sauce = 6 dinners / 3 jars

= 2 package

Sauce = 2 package

Is this statement always true?A cross section parallel to the base of a right rectangular prism is a square

Answers

Answer:

Step-by-step explanation:

No, it's not always true

Can someone please help I’ve been trying to solve this for a while and can’t so if you’d like to help me feel free to! :)

Answers

Answer:

The product means multiply

The second one: 5x=15

Step-by-step explanation:

Hope that helps!!!!!

Bonjour mon exercice c'est 36%de 25km. C'est un exercice de maths à faire pouvez vous m'expliquer svp merci

Answers

Answer:

9km

Step-by-step explanation:

La question précise que:

36% de 25km

La signification de "OF" mathématiquement = x (multiplication)

Par conséquent:

36% de 25km

= 36/100 × 25 km

= 9 km

The areas of sectors ACB and DEF are equal. what expression gives the values of x?show your work

Answers

Answer:

I think this is right thanks :)

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